Herbert Grey, the Kleins’ lawyer, said his clients will participate in the conciliation process but maintain their original stance. The Kleins have said they weren’t discriminating against the couple, who were customers in the past. Instead, they said they were practicing their constitutional right to religious freed om. They have said baking a cake for a same-sex wedding would violate their Christian beliefs.

“They’re being punished by the state of Oregon for refusing to participate in an event that the state of Oregon does not recognize,” Grey said.

Oregon voters decided in 2004 to amend the state constitution to define marriage as a union between one man and one woman. An initiative to overturn the ban is expected to be on the 2014 ballot. Oregon officials have said the state will recognize same-sex marriages of couples who wed in other states or countries.

Paul Thompson, a lawyer for Cryer and Bowman, told the newspaper that the women consider the investigation’s findings bittersweet. They are about as pleased as they can be, given that the investigation ultimately determined they experienced discrimination, he said.

Since the case began, the Kleins have moved their business to their home, the newspaper said.